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Finding the Third Proportional to 52,532 and 76,550

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Solution

The third proportional to 52,532 and 76,550 is: 111,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,532 : 76,550 = 76,550 : x
  2. Step 2: Convert to fraction form
    52,532/76,550 = 76,550/x
  3. Step 3: Cross multiply
    52,532x = 76,550 × 76,550
  4. Step 4: Simplify right side
    52,532x = 5,859,902,500
  5. Step 5: Solve for x
    x = 5,859,902,500/52,532
  6. Step 6: Final answer
    x = 111,549.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.